Metrics for Optimal throwing angle

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze31.0ms (0.4%)

Memory

-2.9MiB live, 36.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
50%	43.7%	43.7%	0.1%	0%	12.5%	0%	5
60.7%	53.1%	34.3%	0.1%	0%	12.5%	0%	6
72.2%	60.9%	23.4%	0.1%	0%	15.6%	0%	7
79.4%	63.2%	16.4%	0.1%	0%	20.3%	0%	8
85.6%	67.5%	11.3%	0.1%	0%	21.1%	0%	9
89.6%	68.9%	8%	0.1%	0%	23%	0%	10
92.7%	71.1%	5.6%	0.1%	0%	23.2%	0%	11
94.8%	71.9%	4%	0.1%	0%	24.1%	0%	12

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.1s (13.1%)

Memory

60.9MiB live, 1 428.8MiB allocated

Samples

801.0ms	8 256×	0	valid
13.0ms	98×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 625.0ms

ival-mult: 202.0ms (32.3% of total)

const: 107.0ms (17.1% of total)

ival-div: 93.0ms (14.9% of total)

ival-sqrt: 87.0ms (13.9% of total)

ival-atan: 79.0ms (12.6% of total)

ival-sub: 41.0ms (6.6% of total)

ival-true: 7.0ms (1.1% of total)

exact: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess330.0ms (4%)

Memory

-166.5MiB live, 80.4MiB allocated

Algorithm

1×	egg-herbie

Rules

224×	`lower-fma.f64`
224×	`lower-fma.f32`
168×	`lower-*.f32`
164×	`lower-*.f64`
138×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	61
1	63	59
2	118	59
3	223	59
4	391	59
5	639	59
6	866	59
7	1009	59
8	1154	59
9	1188	59
10	1204	59
0	11	11
0	19	11
1	26	11
2	36	11
3	45	11
4	61	11
5	82	11
6	126	11
7	173	11
8	229	11
9	286	11
10	375	11
11	415	11
12	504	11
13	526	11
14	534	11
0	534	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))

explain161.0ms (1.9%)

Memory

-2.4MiB live, 254.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
76	-	-	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`
0	-	-	`(*.f64 v v)`
0	-	-	`(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))`
0	-	-	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
0	-	-	`v`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
0	-	-	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`
0	-	-	`H`
0	-	-	`#s(literal 49/5 binary64)`
0	-	-	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`	oflow-rescue	76	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	76
↳	`(*.f64 v v)`	overflow	76

Confusion

	Predicted +	Predicted -
+	76	2
-	0	178

Precision

1.0

Recall

0.9743589743589743

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	2
-	0	0	178

Precision?

1.0

Recall?

0.9743589743589743

Freqs

test

number	freq
0	180
1	76

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

62.0ms	502×	0	valid
8.0ms	10×	5	exit

Compiler

Compiled 152 to 48 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 13.0ms (33.8% of total)

const: 8.0ms (20.8% of total)

ival-atan: 5.0ms (13% of total)

ival-div: 4.0ms (10.4% of total)

ival-sqrt: 4.0ms (10.4% of total)

ival-sub: 3.0ms (7.8% of total)

adjust: 1.0ms (2.6% of total)

ival-true: 1.0ms (2.6% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.4%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify31.0ms (0.4%)

Memory

-1.9MiB live, 38.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
✓	cost-diff	128	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))

Rules

224×	`lower-fma.f64`
224×	`lower-fma.f32`
168×	`lower-*.f32`
164×	`lower-*.f64`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
v
(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(*.f64 v v)
(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H

localize41.0ms (0.5%)

Memory

-5.0MiB live, 72.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
✓	accuracy	99.2%	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
✓	accuracy	72.3%	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

25.0ms	251×	0	valid
3.0ms	5×	5	exit

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (33% of total)

const: 4.0ms (22% of total)

ival-atan: 3.0ms (16.5% of total)

ival-div: 2.0ms (11% of total)

ival-sqrt: 2.0ms (11% of total)

ival-sub: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

-3.6MiB live, 34.9MiB allocated

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))>
#<alt (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))>
#<alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))>
#<alt (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))>
#<alt (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))>
#<alt (.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)>

Outputs
#<alt (* -98/5 H)>
#<alt (- (pow v 2) (* 98/5 H))>
#<alt (- (pow v 2) (* 98/5 H))>
#<alt (- (pow v 2) (* 98/5 H))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	H	@	-inf	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
2.0ms	H	@	inf	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
2.0ms	v	@	0	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
1.0ms	v	@	inf	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
1.0ms	H	@	-inf	(sqrt (- (* v v) (* (* 2 49/5) H)))

simplify322.0ms (3.9%)

Memory

14.1MiB live, 497.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 028×	`lower-fma.f64`
10 028×	`lower-fma.f32`
6 464×	`lower-*.f64`
6 464×	`lower-*.f32`
3 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1843
1	933	1797
2	3166	1774
3	7239	1741
0	8256	1626

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
(* -98/5 H)
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)

Outputs
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 H) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
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#s(literal 1 binary64)
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
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(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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v
(+ v (* -49/5 (/ H v)))
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(* (sqrt H) (sqrt -98/5))
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(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64))))) (neg.f64 H))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))

rewrite374.0ms (4.5%)

Memory

15.4MiB live, 528.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 948×	`lower-fma.f64`
7 948×	`lower-fma.f32`
4 050×	`lower-*.f32`
4 046×	`lower-*.f64`
3 070×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	19	40
1	50	40
2	275	40
3	2260	40
0	8978	36

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 333

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)

Outputs
#s(literal 98/5 binary64)
(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
(+.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))
(+.f64 (/.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (neg.f64 (/.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))))))
(+.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (neg.f64 (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(exp.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(-.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v)))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (*.f64 v v)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (/.f64 (.f64 #s(literal 833747762130149888/1953125 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H))))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (*.f64 v v))))))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))) (/.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))) (/.f64 (/.f64 (.f64 #s(literal 833747762130149888/1953125 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H))))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (*.f64 H #s(literal -98/5 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (/.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (/.f64 (/.f64 (.f64 #s(literal 92236816/625 binary64) (.f64 (.f64 H H) (.f64 H H))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v)))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))))) (/.f64 (.f64 #s(literal 833747762130149888/1953125 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H))))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))) (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (*.f64 H H)))))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))) (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))))
(-.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (/.f64 (.f64 #s(literal 92236816/625 binary64) (.f64 (.f64 H H) (.f64 H H))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))
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(.f64 (sqrt.f64 (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))
(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (-.f64 (.f64 H #s(literal 9604/25 binary64)) (.f64 #s(literal 98/5 binary64) (.f64 v v)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (-.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (*.f64 v v)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))))) (sqrt.f64 (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (-.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (-.f64 (.f64 H #s(literal 9604/25 binary64)) (.f64 #s(literal 98/5 binary64) (.f64 v v)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 98/5 binary64) H)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 98/5 binary64) H)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64)))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64))
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H)))

eval67.0ms (0.8%)

Memory: 4.3MiB live, 114.3MiB allocated
Compiler: Compiled 18 877 to 2 002 computations (89.4% saved)

prune89.0ms (1.1%)

Memory

-15.7MiB live, 107.1MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	426	13	439
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	427	13	440

Accuracy

100.0%

Counts

440 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.6%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
	70.2%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
▶	70.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
▶	69.4%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
	39.4%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	37.0%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
	70.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
	70.2%	(atan.f64 (.f64 (/.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
▶	70.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
▶	32.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
	36.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
	32.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶	36.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 386 to 234 computations (39.4% saved)

simplify256.0ms (3.1%)

Memory

8.4MiB live, 350.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
✓	cost-diff	320	(.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
✓	cost-diff	2432	(.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	cost-diff	0	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
✓	cost-diff	0	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	cost-diff	0	(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
✓	cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
✓	cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
✓	cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))

Rules

10 168×	`lower-fma.f32`
10 162×	`lower-fma.f64`
4 140×	`lower-*.f32`
4 130×	`lower-*.f64`
2 246×	`lower-neg.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	318
0	59	250
1	84	248
2	138	248
3	377	248
4	1657	248
5	4417	248
0	8538	248

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
H
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
#s(literal 49/5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
(/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))))
v
(sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
#s(literal 98/5 binary64)
H
(*.f64 v v)
(.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
#s(literal 1 binary64)

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
H
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
#s(literal 49/5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
(fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))
#s(literal 98/5 binary64)
H
(*.f64 v v)
(.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(/.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))
#s(literal 1 binary64)

localize128.0ms (1.5%)

Memory

-6.7MiB live, 229.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
✓	accuracy	72.3%	(sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
✓	accuracy	71.0%	(.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
✓	accuracy	99.7%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	accuracy	99.2%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	73.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	100.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
✓	accuracy	98.8%	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	accuracy	92.7%	(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
✓	accuracy	32.2%	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
✓	accuracy	100.0%	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
✓	accuracy	100.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.2%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	72.3%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))

Samples

76.0ms	251×	0	valid
6.0ms	5×	5	exit

Compiler

Compiled 333 to 37 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-div: 14.0ms (23% of total)

ival-mult: 14.0ms (23% of total)

const: 10.0ms (16.4% of total)

ival-atan: 9.0ms (14.8% of total)

ival-sqrt: 7.0ms (11.5% of total)

ival-add: 4.0ms (6.6% of total)

adjust: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory

-0.6MiB live, 77.4MiB allocated

Counts

21 → 480

Calls

Call 1

Inputs
#<alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))>
#<alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))>
#<alt (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))>
#<alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))>
#<alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))>
#<alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))>
#<alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))>
#<alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))>
#<alt (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 49/5 binary64) (*.f64 v v))>
#<alt (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))>
#<alt (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))>
#<alt (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))>
#<alt (atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))>
#<alt (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))))>
#<alt (*.f64 H #s(literal -98/5 binary64))>
#<alt (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))>

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
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#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt -1>
#<alt (- (* 5/49 (/ (pow v 2) H)) 1)>
#<alt (- (* (pow v 2) (+ (* -25/4802 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H)))) 1)>
#<alt (- (* (pow v 2) (+ (* (pow v 2) (- (* 125/470596 (/ (pow v 2) (pow H 3))) (* 25/4802 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -98/5 (/ H (pow v 2)))) (* 98/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* -98/5 (/ (* H (- (* -98/5 H) (* 98/5 H))) (pow v 4))))) (* 98/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* 9604/25 (/ (* (pow H 2) (- (* -98/5 H) (* 98/5 H))) (pow v 6))))) (+ (* 98/5 (/ H (pow v 2))) (* 98/5 (/ (* H (- (* -98/5 H) (* 98/5 H))) (pow v 4)))))>
#<alt 1>
#<alt (- (+ 1 (* -98/5 (/ H (pow v 2)))) (* 98/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* -98/5 (/ (* H (- (* -98/5 H) (* 98/5 H))) (pow v 4))))) (* 98/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* 9604/25 (/ (* (pow H 2) (- (* -98/5 H) (* 98/5 H))) (pow v 6))))) (+ (* 98/5 (/ H (pow v 2))) (* 98/5 (/ (* H (- (* -98/5 H) (* 98/5 H))) (pow v 4)))))>
#<alt 1>
#<alt (+ 1 (* -196/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (- (* 19208/25 (/ H (pow v 4))) (* 196/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (- (* H (+ (* -1882384/125 (/ H (pow v 6))) (* 19208/25 (/ 1 (pow v 4))))) (* 196/5 (/ 1 (pow v 2))))))>
#<alt -1>
#<alt (- (* 5/98 (/ (pow v 2) H)) (+ 1 (* -5/98 (/ (pow v 2) H))))>
#<alt (- (+ (* -5/98 (/ (* (pow v 2) (- (* 5/98 (pow v 2)) (* -5/98 (pow v 2)))) (pow H 2))) (* 5/98 (/ (pow v 2) H))) (+ 1 (* -5/98 (/ (pow v 2) H))))>
#<alt (- (+ (* 25/9604 (/ (* (pow v 4) (- (* 5/98 (pow v 2)) (* -5/98 (pow v 2)))) (pow H 3))) (* 5/98 (/ (pow v 2) H))) (+ 1 (+ (* -5/98 (/ (pow v 2) H)) (* 5/98 (/ (* (pow v 2) (- (* 5/98 (pow v 2)) (* -5/98 (pow v 2)))) (pow H 2))))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -5/98 (pow v 2)) (* 5/98 (pow v 2))) H)) 1)>
#<alt (- (* -1 (/ (- (+ (* -5/98 (/ (* (pow v 2) (- (* -5/98 (pow v 2)) (* 5/98 (pow v 2)))) H)) (* -5/98 (pow v 2))) (* 5/98 (pow v 2))) H)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 (/ (- (* -25/9604 (/ (* (pow v 4) (- (* -5/98 (pow v 2)) (* 5/98 (pow v 2)))) H)) (* -5/98 (* (pow v 2) (- (* -5/98 (pow v 2)) (* 5/98 (pow v 2)))))) H)) (* -5/98 (pow v 2))) (* 5/98 (pow v 2))) H)) 1)>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* -98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (- (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (- (* H (+ (* -941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ 5/98 H)>
#<alt (/ (+ 5/98 (* -25/9604 (/ (pow v 2) H))) H)>
#<alt (/ (- (+ 5/98 (* 125/941192 (/ (pow v 4) (pow H 2)))) (* 25/9604 (/ (pow v 2) H))) H)>
#<alt (/ (- (+ 5/98 (* -625/92236816 (/ (pow v 6) (pow H 3)))) (+ (* -125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ 5/98 H)>
#<alt (* -1 (/ (- (* 25/9604 (/ (pow v 2) H)) 5/98) H))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H)) 5/98) H))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* 125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H)) 5/98) H))>
#<alt (/ 5/98 H)>
#<alt (+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (+ (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (+ (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) (pow v 2))>

Calls

120 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(/ 1 (+ (* v v) (* H -98/5)))
2.0ms	H	@	inf	(+ (* v v) (* H -98/5))
2.0ms	H	@	inf	(* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 H) (* v v))))
1.0ms	H	@	inf	(+ (* H (/ 49/5 (* v v))) 1)
1.0ms	H	@	-inf	(* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 H) (* v v))))

simplify462.0ms (5.5%)

Memory

-1.4MiB live, 554.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 428×	`lower-fma.f64`
10 428×	`lower-fma.f32`
6 920×	`lower-*.f64`
6 920×	`lower-*.f32`
2 582×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	9012
1	1897	8706
2	5985	8628
0	8211	8051

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 476

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* -98/5 H)
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v
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v
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(+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(+ (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(/ 1 (pow v 2))
(/ (+ 1 (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) (pow v 2))

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 H) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 v (.f64 v (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 v (.f64 v (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (/.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 H (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 H (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 v (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(fma.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -125/1882384 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (fma.f64 #s(literal 625/368947264 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 H #s(literal -5/98 binary64))) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -125/1882384 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)) (.f64 (.f64 (.f64 v (.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))) (fma.f64 #s(literal -125/1882384 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)) (.f64 (.f64 (.f64 v (.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))))) (/.f64 (fma.f64 (sqrt.f64 H) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 125/1882384 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) #s(literal 1/2 binary64)) (.f64 v (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 H (.f64 H H))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 5/784 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 H (.f64 v v)) (.f64 #s(literal -49/5 binary64) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) v)
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(fma.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (/.f64 (.f64 (.f64 #s(literal -117649/250 binary64) (.f64 H H)) H) (pow.f64 v #s(literal 6 binary64))))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(fma.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) v) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(.f64 (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))) (neg.f64 v))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(.f64 H (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 H))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) #s(literal 1/2 binary64)))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))) #s(literal 1/2 binary64))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))) #s(literal 1/2 binary64)))))) (neg.f64 H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
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(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 v (.f64 v (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 v (.f64 v (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (/.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
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(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 H (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 H (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 H (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
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(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)) (.f64 (.f64 (.f64 v (.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))) (fma.f64 #s(literal -125/1882384 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)) (.f64 (.f64 (.f64 v (.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))))) (/.f64 (fma.f64 (sqrt.f64 H) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 125/1882384 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) #s(literal 1/2 binary64)) (.f64 v (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 H (.f64 H H))))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(.f64 H (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 H))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) #s(literal 1/2 binary64)))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))) #s(literal 1/2 binary64))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
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(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 5/784 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 H (.f64 v v)) (.f64 #s(literal -49/5 binary64) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) v)
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(fma.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (/.f64 (.f64 (.f64 #s(literal -117649/250 binary64) (.f64 H H)) H) (pow.f64 v #s(literal 6 binary64))))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(fma.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) v) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(.f64 (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))) (neg.f64 v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (* -98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(fma.f64 H (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (- (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (- (* H (+ (* -941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(/ 5/98 H)
(/.f64 #s(literal 5/98 binary64) H)
(/ (+ 5/98 (* -25/9604 (/ (pow v 2) H))) H)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal 5/98 binary64)) H)
(/ (- (+ 5/98 (* 125/941192 (/ (pow v 4) (pow H 2)))) (* 25/9604 (/ (pow v 2) H))) H)
(/.f64 (+.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal 125/941192 binary64) H) (.f64 (*.f64 v v) #s(literal -25/9604 binary64))) H)) H)
(/ (- (+ 5/98 (* -625/92236816 (/ (pow v 6) (pow H 3)))) (+ (* -125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H)))) H)
(/.f64 (+.f64 (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 H (.f64 H H))) #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal 125/941192 binary64) H) (.f64 (*.f64 v v) #s(literal -25/9604 binary64))) H)) H)
(/ 5/98 H)
(/.f64 #s(literal 5/98 binary64) H)
(* -1 (/ (- (* 25/9604 (/ (pow v 2) H)) 5/98) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal 5/98 binary64)) H)
(* -1 (/ (- (* -1 (/ (- (* 125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H)) 5/98) H))
(/.f64 (-.f64 #s(literal -5/98 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal 125/941192 binary64) H) (.f64 (*.f64 v v) #s(literal -25/9604 binary64))) H)) (neg.f64 H))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* 125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H)) 5/98) H))
(/.f64 (+.f64 #s(literal -5/98 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -125/941192 binary64) (/.f64 (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) H)) H) (.f64 (.f64 v v) #s(literal 25/9604 binary64))) H)) (neg.f64 H))
(/ 5/98 H)
(/.f64 #s(literal 5/98 binary64) H)
(+ (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(fma.f64 #s(literal -25/9604 binary64) (/.f64 (.f64 v v) (.f64 H H)) (/.f64 #s(literal 5/98 binary64) H))
(+ (* (pow v 2) (- (* 125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (/.f64 #s(literal 5/98 binary64) H))
(+ (* (pow v 2) (- (* (pow v 2) (+ (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (.f64 v v) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal -25/9604 binary64) (.f64 H H))) (/.f64 #s(literal 5/98 binary64) H))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal -98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal -98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* -941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* 98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64)))) (.f64 v v))

rewrite364.0ms (4.4%)

Memory

3.5MiB live, 631.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 690×	`lower-fma.f32`
7 684×	`lower-fma.f64`
3 866×	`lower-*.f32`
3 858×	`lower-*.f64`
2 218×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	271
0	59	197
1	177	196
2	1187	184
0	9621	184

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 941

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
(/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))))
(*.f64 H #s(literal -98/5 binary64))
(sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (atan.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64))
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (/.f64 v #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (/.f64 v #s(literal 1 binary64)))
(.f64 (/.f64 v #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (/.f64 v (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))) (/.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1/2 binary64)))
(.f64 (.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 v)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal 9604/25 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (*.f64 H H) #s(literal 9604/25 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (sqrt.f64 (fma.f64 (.f64 H H) #s(literal -9604/25 binary64) (neg.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))))) (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64))))) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (*.f64 H H) #s(literal 9604/25 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))))) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
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(-.f64 (.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) #s(literal 1 binary64)) (/.f64 (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))))
(-.f64 (/.f64 (fma.f64 H (.f64 #s(literal 9604/25 binary64) H) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (/.f64 (.f64 v (.f64 v (.f64 H #s(literal 98/5 binary64)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64)))))
(-.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (.f64 v v) (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))))
(-.f64 (/.f64 (.f64 v v) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (/.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 H H) #s(literal -9604/25 binary64)) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (/.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal 9604/25 binary64)))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(fma.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal 9604/25 binary64))))))
(fma.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 (.f64 v (neg.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal 9604/25 binary64))))))
(fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal 9604/25 binary64))))))
(fma.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 #s(literal 98/5 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 #s(literal 98/5 binary64) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 v (.f64 v (.f64 H #s(literal 98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 H #s(literal 98/5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (*.f64 v v)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 v v) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (*.f64 H #s(literal 98/5 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 v (.f64 v (.f64 v v))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 #s(literal 98/5 binary64) (*.f64 v v))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 #s(literal 98/5 binary64) (.f64 v v)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 v (.f64 v (*.f64 v v)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 v (.f64 v (.f64 H #s(literal 98/5 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 H #s(literal 98/5 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (*.f64 v (neg.f64 v))))
(fma.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) #s(literal 1 binary64) (.f64 (.f64 v (.f64 v (.f64 H #s(literal 98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(/.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal 9604/25 binary64))))
(/.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64))))
(/.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))))
(/.f64 (fma.f64 (.f64 H H) #s(literal -9604/25 binary64) (neg.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (-.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -2 binary64))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(pow.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))))
(.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))))
(.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (*.f64 H H) #s(literal 9604/25 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (.f64 (*.f64 H H) #s(literal 9604/25 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v))))) (/.f64 #s(literal -1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))

eval301.0ms (3.6%)

Memory: 8.2MiB live, 553.0MiB allocated
Compiler: Compiled 62 260 to 5 501 computations (91.2% saved)

prune263.0ms (3.2%)

Memory

-2.5MiB live, 451.5MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 962	7	1 969
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	1 969	13	1 982

Accuracy

100.0%

Counts

1 982 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
✓	70.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	39.4%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	37.0%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
	38.5%	(atan.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
	70.1%	(atan.f64 (.f64 (.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
▶	39.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
▶	39.4%	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
	36.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
✓	32.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
▶	21.1%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
▶	32.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
✓	36.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 315 to 198 computations (37.1% saved)

simplify469.0ms (5.6%)

Memory

41.8MiB live, 624.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
✓	cost-diff	0	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
✓	cost-diff	0	#s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))
✓	cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))))
✓	cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
✓	cost-diff	320	(/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))
✓	cost-diff	0	#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
✓	cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
✓	cost-diff	0	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
✓	cost-diff	0	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
✓	cost-diff	0	#s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64)))
✓	cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
✓	cost-diff	1088	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))

Rules

13 158×	`lower-fma.f32`
13 154×	`lower-fma.f64`
3 756×	`lower-*.f32`
3 744×	`lower-*.f64`
2 292×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	360
0	71	355
1	94	351
2	116	351
3	138	351
4	154	351
5	200	351
6	289	351
7	439	351
8	1118	348
9	1991	348
10	2425	348
11	2974	348
12	3621	348
13	4050	348
14	4475	348
15	5079	348
16	5726	348
17	7245	348
0	8275	338

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64)))
#s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))))
#s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))
(/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))
(fma.f64 v v (*.f64 H #s(literal 49/5 binary64)))
v
(*.f64 H #s(literal 49/5 binary64))
H
#s(literal 49/5 binary64)
(*.f64 v v)
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
#s(literal 1 binary64)
#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v

Outputs
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64)))
#s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(atan.f64 (.f64 v (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(.f64 v (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))
#s(approx (+ (* H (/ 49/5 (* v v))) 1) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(fma.f64 v v (*.f64 H #s(literal 49/5 binary64)))
(fma.f64 H #s(literal 49/5 binary64) (*.f64 v v))
v
(*.f64 H #s(literal 49/5 binary64))
H
#s(literal 49/5 binary64)
(*.f64 v v)
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
H
v

localize120.0ms (1.4%)

Memory

-17.1MiB live, 257.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	73.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
✓	accuracy	36.7%	#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	99.2%	(*.f64 H #s(literal 49/5 binary64))
✓	accuracy	64.4%	(/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))
✓	accuracy	64.4%	#s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))
✓	accuracy	21.8%	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))))
✓	accuracy	99.8%	(/.f64 #s(literal -5/98 binary64) H)
✓	accuracy	99.7%	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
✓	accuracy	73.5%	(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
✓	accuracy	37.3%	#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	100.0%	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64)))
✓	accuracy	100.0%	#s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))
✓	accuracy	32.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
✓	accuracy	99.2%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	73.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))

Samples

71.0ms	251×	0	valid
8.0ms	5×	5	exit

Compiler

Compiled 271 to 33 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

const: 13.0ms (22.9% of total)

ival-mult: 13.0ms (22.9% of total)

ival-div: 12.0ms (21.1% of total)

ival-atan: 8.0ms (14.1% of total)

ival-sqrt: 4.0ms (7% of total)

ival-add: 4.0ms (7% of total)

adjust: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory

15.1MiB live, 94.7MiB allocated

Counts

24 → 528

Calls

Call 1

Inputs
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))>
#<alt (atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))>
#<alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))>
#<alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64)))>
#<alt #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))>
#<alt (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))>
#<alt (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)>
#<alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))>
#<alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))>
#<alt (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))>
#<alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))>
#<alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))))>
#<alt #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))>
#<alt (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))>
#<alt (*.f64 H #s(literal -98/5 binary64))>
#<alt (/.f64 #s(literal -5/98 binary64) H)>
#<alt (*.f64 H #s(literal 49/5 binary64))>
#<alt #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))>
#<alt (*.f64 #s(literal -98/5 binary64) H)>

Outputs
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
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#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))>
#<alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))>
#<alt (/ -5/98 H)>
#<alt (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ -5/98 H)>
#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	H	@	-inf	(* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)
2.0ms	v	@	inf	(+ (* v v) (* H -98/5))
1.0ms	H	@	-inf	(/ (+ (* v v) (* H 49/5)) (* v v))
1.0ms	H	@	inf	(/ (+ (* v v) (* H 49/5)) (* v v))
1.0ms	v	@	0	(/ (+ (* v v) (* H 49/5)) (* v v))

simplify451.0ms (5.4%)

Memory

4.1MiB live, 716.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 908×	`lower-fma.f64`
8 908×	`lower-fma.f32`
5 536×	`lower-*.f64`
5 536×	`lower-*.f32`
3 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	372	9400
1	1037	9041
2	3142	8955
3	6710	8940
0	8462	8341

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(/ -5/98 H)
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
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(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(* 49/5 (/ H (pow v 2)))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* 49/5 (/ H (pow v 2)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* 49/5 (/ H (pow v 2)))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)

Outputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
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(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal -625/92236816 binary64) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal -125/941192 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal -25/9604 binary64) (.f64 H H))) (/.f64 #s(literal -5/98 binary64) H))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (.f64 H #s(literal 9604/25 binary64)) (/.f64 H (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal 941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (.f64 H #s(literal 9604/25 binary64)) (/.f64 H (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (.f64 H #s(literal 9604/25 binary64)) (/.f64 H (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal 941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (.f64 H #s(literal 9604/25 binary64)) (/.f64 H (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(/.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (.f64 v v))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (/.f64 (.f64 H #s(literal 9604/25 binary64)) (pow.f64 v #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 (.f64 H H) (fma.f64 H (/.f64 #s(literal 941192/125 binary64) (pow.f64 v #s(literal 8 binary64))) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/.f64 (fma.f64 #s(literal -25/9604 binary64) (/.f64 (*.f64 v v) H) #s(literal -5/98 binary64)) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/.f64 (+.f64 #s(literal -5/98 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H) (.f64 (*.f64 v v) #s(literal -25/9604 binary64))) H)) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H) (.f64 (.f64 v v) #s(literal -25/9604 binary64))) H) (fma.f64 (pow.f64 v #s(literal 6 binary64)) (/.f64 #s(literal -625/92236816 binary64) (.f64 H (*.f64 H H))) #s(literal -5/98 binary64))) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (fma.f64 #s(literal -25/9604 binary64) (/.f64 (*.f64 v v) H) #s(literal -5/98 binary64)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 #s(literal -5/98 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H) (.f64 (*.f64 v v) #s(literal -25/9604 binary64))) H)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 #s(literal -5/98 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -25/9604 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -125/941192 binary64) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -625/92236816 binary64)) H)) H)) H)) H)
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))

rewrite373.0ms (4.5%)

Memory

4.5MiB live, 529.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 464×	`lower-fma.f32`
9 460×	`lower-fma.f64`
5 242×	`lower-*.f32`
5 230×	`lower-*.f64`
2 840×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	327
0	71	323
1	205	309
2	1129	309
0	8574	303

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 477

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64)))
#s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v))))
#s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
(*.f64 H #s(literal -98/5 binary64))
(/.f64 #s(literal -5/98 binary64) H)
(*.f64 H #s(literal 49/5 binary64))
#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) (*.f64 (log.f64 v) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) v)) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v)))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal -1 binary64))
(/.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
(.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) v))
(.f64 (/.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) v)))
(.f64 (/.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 (neg.f64 v) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (/.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
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(pow.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))
(.f64 #s(approx (+ ( v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(.f64 (neg.f64 #s(approx (+ ( v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 H #s(literal -98/5 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))
(neg.f64 (*.f64 H #s(literal 98/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64)))
(/.f64 H #s(literal -5/98 binary64))
(/.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (.f64 #s(literal 0 binary64) (.f64 H #s(literal 98/5 binary64))))))
(/.f64 (.f64 (.f64 H H) #s(literal -9604/25 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))
(.f64 #s(literal -1 binary64) (.f64 H #s(literal 98/5 binary64)))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))

eval143.0ms (1.7%)

Memory: -19.0MiB live, 286.3MiB allocated
Compiler: Compiled 21 071 to 2 082 computations (90.1% saved)

prune92.0ms (1.1%)

Memory

-22.7MiB live, 212.4MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 001	4	1 005
Fresh	3	2	5
Picked	1	4	5
Done	0	3	3
Total	1 005	13	1 018

Accuracy

100.0%

Counts

1 018 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(atan.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
▶	70.2%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))
▶	39.3%	(atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))
✓	70.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
▶	39.4%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶	37.0%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
✓	39.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
✓	39.4%	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
▶	36.7%	(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
✓	32.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
✓	21.1%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
✓	32.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
✓	36.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 242 to 156 computations (35.5% saved)

simplify162.0ms (1.9%)

Memory

22.8MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
✓	cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
✓	cost-diff	0	(atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))
✓	cost-diff	1088	(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))
✓	cost-diff	0	(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
✓	cost-diff	0	#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
✓	cost-diff	0	(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	cost-diff	0	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
✓	cost-diff	0	#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
✓	cost-diff	0	(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
✓	cost-diff	0	(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	cost-diff	0	(/.f64 #s(literal -49/5 binary64) (*.f64 v v))
✓	cost-diff	0	(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
✓	cost-diff	0	#s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
✓	cost-diff	0	(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))
✓	cost-diff	0	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))
✓	cost-diff	384	(/.f64 H #s(literal -5/98 binary64))
✓	cost-diff	1088	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v))

Rules

1 080×	`lower-fma.f32`
1 074×	`lower-fma.f64`
848×	`lower-*.f32`
844×	`lower-*.f64`
636×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	48	321
0	73	321
1	98	309
2	122	309
3	150	309
4	168	309
5	212	309
6	292	309
7	415	296
8	1000	296
9	1717	296
10	2123	296
11	2499	296
12	2590	296
13	2608	296
14	2625	296
15	2669	296
16	2805	296
17	2841	296
18	2965	296
19	3073	296
20	3369	296
21	3369	296
0	3369	296

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))
v
(/.f64 H #s(literal -5/98 binary64))
H
#s(literal -5/98 binary64)
(/.f64 #s(literal 1 binary64) v)
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
H
(/.f64 #s(literal -49/5 binary64) (*.f64 v v))
#s(literal -49/5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
H
(/.f64 #s(literal -49/5 binary64) v)
#s(literal -49/5 binary64)
(atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
(/.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v

Outputs
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v))
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(/.f64 H #s(literal -5/98 binary64))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -5/98 binary64)
(/.f64 #s(literal 1 binary64) v)
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
H
(/.f64 #s(literal -49/5 binary64) (*.f64 v v))
#s(literal -49/5 binary64)
(*.f64 v v)
v
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
H
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
H
(/.f64 #s(literal -49/5 binary64) v)
#s(literal -49/5 binary64)
(atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (.f64 v (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))))
(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))
(.f64 v (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
(/.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
v

localize145.0ms (1.7%)

Memory

-32.0MiB live, 258.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))
✓	accuracy	99.8%	(/.f64 #s(literal -5/98 binary64) H)
✓	accuracy	73.5%	(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
✓	accuracy	37.3%	#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	99.9%	(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
✓	accuracy	99.9%	(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	accuracy	99.3%	(/.f64 #s(literal -49/5 binary64) v)
✓	accuracy	32.5%	#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
✓	accuracy	99.2%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	72.3%	(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	36.7%	#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	100.0%	(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
✓	accuracy	98.8%	(/.f64 #s(literal -49/5 binary64) (*.f64 v v))
✓	accuracy	92.7%	(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
✓	accuracy	37.6%	#s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v))
✓	accuracy	99.8%	(/.f64 H #s(literal -5/98 binary64))
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
✓	accuracy	73.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))

Samples

87.0ms	251×	0	valid
14.0ms	5×	5	exit

Compiler

Compiled 273 to 39 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

const: 21.0ms (26.8% of total)

ival-mult: 21.0ms (26.8% of total)

ival-div: 16.0ms (20.4% of total)

ival-atan: 7.0ms (8.9% of total)

ival-sqrt: 6.0ms (7.6% of total)

ival-add: 5.0ms (6.4% of total)

adjust: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory

9.8MiB live, 90.3MiB allocated

Counts

24 → 516

Calls

Call 1

Inputs
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v))>
#<alt (/.f64 H #s(literal -5/98 binary64))>
#<alt (atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))>
#<alt (atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))>
#<alt #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))>
#<alt (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal -49/5 binary64) (*.f64 v v))>
#<alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))>
#<alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))>
#<alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))>
#<alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))>
#<alt (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))>
#<alt (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))>
#<alt #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))>
#<alt (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)>
#<alt (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))>
#<alt (atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))>
#<alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))>
#<alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))>
#<alt (*.f64 #s(literal -98/5 binary64) H)>
#<alt (/.f64 #s(literal -49/5 binary64) v)>
#<alt (/.f64 #s(literal -5/98 binary64) H)>

Outputs
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))>
#<alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))>
#<alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))>
#<alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (/ -49/5 (pow v 2))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
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#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))>
#<alt (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))>
#<alt (/ -5/98 H)>
#<alt (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ -5/98 H)>
#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (/ -5/98 H)>
#<alt (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ -5/98 H)>
#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>

Calls

129 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
1.0ms	H	@	inf	(+ (* H (/ -49/5 v)) v)
1.0ms	H	@	-inf	(+ (* H (/ -49/5 (* v v))) -1)
0.0ms	H	@	inf	(+ (* H (/ -49/5 (* v v))) -1)
0.0ms	v	@	0	(+ (* H (/ -49/5 (* v v))) -1)

simplify512.0ms (6.1%)

Memory

42.1MiB live, 706.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 830×	`lower-fma.f64`
13 830×	`lower-fma.f32`
6 300×	`lower-*.f64`
6 300×	`lower-*.f32`
4 400×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	494	9380
1	1434	9061
2	4647	8987
0	8054	8410

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 509

Calls

Call 1

Inputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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v
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(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)

Outputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 H) (.f64 v v)) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 (.f64 v v) (.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1/2 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 v (/.f64 (.f64 #s(literal 625/368947264 binary64) (.f64 H (.f64 (.f64 v v) (.f64 v v)))) #s(literal -5/98 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 v (.f64 v v)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 v (.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 (fma.f64 v (.f64 (.f64 #s(literal -625/368947264 binary64) H) (/.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 5/98 binary64))) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)))) (.f64 H (*.f64 H (neg.f64 H))))))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64)))))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))
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(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1/2 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 v (/.f64 (.f64 #s(literal 625/368947264 binary64) (.f64 H (.f64 (.f64 v v) (.f64 v v)))) #s(literal -5/98 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 v (.f64 v v)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) v))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 v (.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 (fma.f64 v (.f64 (.f64 #s(literal -625/368947264 binary64) H) (/.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 5/98 binary64))) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)))) (.f64 H (*.f64 H (neg.f64 H))))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(fma.f64 (.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 v (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) v)
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(fma.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(-.f64 (.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v)) v)
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal 1 binary64))) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(neg.f64 (fma.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))) v))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 (/.f64 H (.f64 v (.f64 v v))) #s(literal -2401/50 binary64) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 H) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64))))) (neg.f64 H))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(- (pow v 2) (* 98/5 H))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
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v
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(/.f64 (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -25/9604 binary64) (/.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -125/941192 binary64)) H)) H) #s(literal -5/98 binary64)) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/.f64 (+.f64 (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 H (.f64 H H))) (fma.f64 (/.f64 (.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -125/941192 binary64)) (.f64 H H))) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -25/9604 binary64) (/.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -125/941192 binary64)) H)) H)) (neg.f64 H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 #s(literal -5/98 binary64) (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -25/9604 binary64)) (/.f64 (fma.f64 #s(literal 125/941192 binary64) (.f64 (.f64 v v) (.f64 v v)) (/.f64 (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) H)) H)) H)) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 v (.f64 v (fma.f64 #s(literal -125/941192 binary64) (.f64 v (/.f64 v (.f64 H (.f64 H H)))) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H)))) (/.f64 #s(literal -5/98 binary64) H))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (.f64 v v) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal -125/941192 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal -25/9604 binary64) (.f64 H H))) (/.f64 #s(literal -5/98 binary64) H))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/.f64 (fma.f64 (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -25/9604 binary64) (/.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -125/941192 binary64)) H)) H) #s(literal -5/98 binary64)) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/.f64 (+.f64 (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 H (.f64 H H))) (fma.f64 (/.f64 (.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -125/941192 binary64)) (.f64 H H))) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -25/9604 binary64) (/.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal -125/941192 binary64)) H)) H)) (neg.f64 H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 #s(literal -5/98 binary64) (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -25/9604 binary64)) (/.f64 (fma.f64 #s(literal 125/941192 binary64) (.f64 (.f64 v v) (.f64 v v)) (/.f64 (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) H)) H)) H)) H)
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)

rewrite317.0ms (3.8%)

Memory

-8.8MiB live, 469.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 508×	`lower-fma.f32`
8 502×	`lower-fma.f64`
4 372×	`lower-*.f32`
4 368×	`lower-*.f64`
2 886×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	288
0	73	275
1	236	254
2	1208	254
0	8726	254

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 550

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v))
(/.f64 H #s(literal -5/98 binary64))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(/.f64 #s(literal -49/5 binary64) (*.f64 v v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))
(atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 #s(literal -49/5 binary64) v)
(/.f64 #s(literal -5/98 binary64) H)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) #s(literal 1/2 binary64)) (*.f64 (log.f64 v) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) v)) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(neg.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v))
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v)))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) v) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) v)
(.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (neg.f64 v))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1/4 binary64))))
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(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal -9604/25 binary64))))))
(fma.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal -9604/25 binary64))))))
(fma.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 (.f64 v v) #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 (.f64 v v) #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 (.f64 (.f64 v v) H) #s(literal 98/5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 v (.f64 v (.f64 v v))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 (*.f64 v v) #s(literal -98/5 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 H (fma.f64 #s(literal 9604/25 binary64) H (.f64 (.f64 v v) #s(literal -98/5 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 v (.f64 v (*.f64 v v)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (.f64 (.f64 (.f64 v v) H) #s(literal 98/5 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 v v) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (*.f64 H #s(literal 98/5 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 H #s(literal 98/5 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (*.f64 v v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(/.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal -9604/25 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))
(/.f64 #s(literal -1 binary64) (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64))))
(/.f64 (fma.f64 (.f64 v v) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 v v) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (neg.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (*.f64 H H)) #s(literal 941192/125 binary64)))))
(/.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal 98/5 binary64))) (-.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))))
(pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #s(literal -2 binary64))
(pow.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))
(.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))
(.f64 (fma.f64 (.f64 v v) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (fma.f64 (.f64 v v) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/4 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 H #s(literal -98/5 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))
(neg.f64 (*.f64 H #s(literal 98/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 H #s(literal -5/98 binary64))
(/.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))
(/.f64 #s(literal 98/5 binary64) (/.f64 #s(literal -1 binary64) H))
(/.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 941192/125 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 H (.f64 #s(literal 9604/25 binary64) H) (.f64 #s(literal 0 binary64) (.f64 H #s(literal 98/5 binary64))))))
(/.f64 (.f64 (.f64 H H) #s(literal -9604/25 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
(.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal -98/5 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 H #s(literal 98/5 binary64)))
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))
(*.f64 #s(literal 98/5 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal -1 binary64)))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -1 binary64)) #s(literal -98/5 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal -1 binary64)) #s(literal 98/5 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 v #s(literal -5/49 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 49/5 binary64) v))
(neg.f64 (/.f64 #s(literal 49/5 binary64) v))
(/.f64 #s(literal 1 binary64) (*.f64 v #s(literal -5/49 binary64)))
(/.f64 #s(literal -49/5 binary64) v)
(/.f64 #s(literal -1 binary64) (*.f64 v #s(literal 5/49 binary64)))
(/.f64 #s(literal 49/5 binary64) (neg.f64 v))
(pow.f64 (*.f64 v #s(literal -5/49 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -49/5 binary64))
(*.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 49/5 binary64) v))
(*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 #s(literal -49/5 binary64) v) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 v #s(literal -5/49 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 v #s(literal -5/49 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -49/5 binary64) (pow.f64 v #s(literal -1/2 binary64))) (pow.f64 v #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 5/98 binary64) H))
(neg.f64 (/.f64 #s(literal 5/98 binary64) H))
(neg.f64 (/.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)))
(/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))
(/.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 #s(literal -5/98 binary64) (/.f64 #s(literal 1 binary64) H))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal -1 binary64) H))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))
(.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)))

eval142.0ms (1.7%)

Memory: -2.4MiB live, 338.7MiB allocated
Compiler: Compiled 21 740 to 2 539 computations (88.3% saved)

prune117.0ms (1.4%)

Memory

-15.7MiB live, 290.2MiB allocated

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	1 058	1	1 059
Fresh	0	1	1
Picked	0	5	5
Done	0	7	7
Total	1 058	14	1 072

Accuracy

100.0%

Counts

1 072 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.1%	(atan.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
✓	70.2%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))
✓	39.3%	(atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))
✓	70.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	39.4%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	37.0%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
✓	39.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
✓	39.4%	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
✓	36.7%	(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
	36.7%	(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (-.f64 (/.f64 H (.f64 (.f64 v v) #s(literal -5/49 binary64))) #s(literal 1 binary64))))
✓	32.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
✓	21.1%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
✓	32.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
✓	36.3%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 509 to 224 computations (56% saved)

regimes44.0ms (0.5%)

Memory

26.5MiB live, 102.2MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (-.f64 (/.f64 H (.f64 (.f64 v v) #s(literal -5/49 binary64))) #s(literal 1 binary64))))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(atan.f64 (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
(atan.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(atan.f64 (.f64 (.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
(atan.f64 (.f64 (/.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))

Outputs

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))

Calls

5 calls:

12.0ms	H
9.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
7.0ms	v
6.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
6.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
99.9%	3	`v`
72.2%	2	`H`
85.7%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
85.7%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
72.2%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes7.0ms (0.1%)

Memory

-22.7MiB live, 14.1MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (-.f64 (/.f64 H (.f64 (.f64 v v) #s(literal -5/49 binary64))) #s(literal 1 binary64))))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))

Outputs

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))

(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))

(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.3%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (-.f64 (/.f64 H (.f64 (.f64 v v) #s(literal -5/49 binary64))) #s(literal 1 binary64))))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))))

Outputs

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))

(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
94.2%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Memory

7.4MiB live, 43.7MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* H (/ 49/5 (* v v))) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)) (-.f64 (/.f64 H (.f64 (.f64 v v) #s(literal -5/49 binary64))) #s(literal 1 binary64))))

Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))

Calls

5 calls:

5.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
3.0ms	v
3.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
3.0ms	H
3.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
40.1%	2	`H`
40.1%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
56.2%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
56.2%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
67.0%	2	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes9.0ms (0.1%)

Memory

-14.6MiB live, 21.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Calls

5 calls:

3.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	v
1.0ms	H
1.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
36.3%	1	`H`
36.3%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
36.3%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
36.3%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
36.3%	1	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch26.0ms (0.3%)

Memory

12.0MiB live, 50.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
14.0ms	6.417015200732554e+100	9.7013552599051e+106
10.0ms	-4.889339943532678e+155	-2.3578334042721298e+148

Samples

18.0ms	144×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 189 to 142 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 7.0ms (46.8% of total)

ival-mult: 3.0ms (20.1% of total)

ival-atan: 2.0ms (13.4% of total)

const: 2.0ms (13.4% of total)

ival-sub: 1.0ms (6.7% of total)

ival-sqrt: 1.0ms (6.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory

-2.2MiB live, 68.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.4028963045760971e-21	6.111223842920377e-21
17.0ms	-6.621291953017873e-52	-1.1110630018341015e-52

Samples

19.0ms	192×	0	valid
5.0ms	34×	0	invalid

Compiler

Compiled 306 to 214 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 4.0ms (25% of total)

ival-atan: 4.0ms (25% of total)

const: 3.0ms (18.7% of total)

ival-div: 2.0ms (12.5% of total)

ival-sqrt: 2.0ms (12.5% of total)

ival-sub: 1.0ms (6.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4028963045760971e-21	6.111223842920377e-21
1.0ms	-6.621291953017873e-52	-1.1110630018341015e-52

Compiler

Compiled 264 to 196 computations (25.8% saved)

bsearch43.0ms (0.5%)

Memory

16.5MiB live, 51.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	-2.2720805620755963e-297	6.062443007670511e-308

Samples

28.0ms	160×	0	valid
5.0ms	64×	0	invalid

Compiler

Compiled 138 to 116 computations (15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 20.0ms (72.5% of total)

const: 3.0ms (10.9% of total)

ival-div: 1.0ms (3.6% of total)

ival-atan: 1.0ms (3.6% of total)

ival-sub: 1.0ms (3.6% of total)

ival-sqrt: 1.0ms (3.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	208
1	65	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(approx (/ v (sqrt (- ( v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))))
(if (<=.f64 v #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Outputs
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000001820719981007368700209209079903509731143090914749681805790702668304308360195083224381128704 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(approx (/ v (sqrt (- ( v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))))
(if (<=.f64 v #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (atan.f64 (.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))))))
(if (<=.f64 v #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -2123095800038113/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3775007508029161/2658455991569831745807614120560689152 binary64)) (atan.f64 (.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

soundness575.0ms (6.9%)

Memory

7.3MiB live, 543.8MiB allocated

Rules

10 428×	`lower-fma.f64`
10 428×	`lower-fma.f32`
10 028×	`lower-fma.f64`
10 028×	`lower-fma.f32`
7 948×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	19	40
1	50	40
2	275	40
3	2260	40
0	8978	36
0	323	1843
1	933	1797
2	3166	1774
3	7239	1741
0	8256	1626
0	633	9012
1	1897	8706
2	5985	8628
0	8211	8051

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 234 to 143 computations (38.9% saved)

preprocess57.0ms (0.7%)

Memory: -10.5MiB live, 147.2MiB allocated
Compiler: Compiled 238 to 108 computations (54.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

start0.0ms (0%)

analyze31.0ms (0.4%)

sample1.1s (13.1%)

preprocess330.0ms (4%)

explain161.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.4%)

localize41.0ms (0.5%)

series23.0ms (0.3%)

simplify322.0ms (3.9%)

rewrite374.0ms (4.5%)

eval67.0ms (0.8%)

prune89.0ms (1.1%)

simplify256.0ms (3.1%)

localize128.0ms (1.5%)

series45.0ms (0.5%)

simplify462.0ms (5.5%)

rewrite364.0ms (4.4%)

eval301.0ms (3.6%)

prune263.0ms (3.2%)

simplify469.0ms (5.6%)

localize120.0ms (1.4%)

series41.0ms (0.5%)

simplify451.0ms (5.4%)

rewrite373.0ms (4.5%)

eval143.0ms (1.7%)

prune92.0ms (1.1%)

simplify162.0ms (1.9%)

localize145.0ms (1.7%)

series39.0ms (0.5%)

simplify512.0ms (6.1%)

rewrite317.0ms (3.8%)

eval142.0ms (1.7%)

prune117.0ms (1.4%)

regimes44.0ms (0.5%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch35.0ms (0.4%)

bsearch1.0ms (0%)

bsearch43.0ms (0.5%)

simplify8.0ms (0.1%)

soundness575.0ms (6.9%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43